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Finding the Third Proportional to 2,198.39 and 4,841.02

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Solution

The third proportional to 2,198.39 and 4,841.02 is: 10,660.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.39 : 4,841.02 = 4,841.02 : x
  2. Step 2: Convert to fraction form
    2,198.39/4,841.02 = 4,841.02/x
  3. Step 3: Cross multiply
    2,198.39x = 4,841.02 × 4,841.02
  4. Step 4: Simplify right side
    2,198.39x = 23,435,432.28
  5. Step 5: Solve for x
    x = 23,435,432.28/2,198.39
  6. Step 6: Final answer
    x = 10,660.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.